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Finding the Fourth Proportional to 368.59, 505.62 and 348.73

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Solution

The fourth proportional to 368.59, 505.62 and 348.73 is: 478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.59 : 505.62 = 348.73 : x
  2. Step 2: Convert to fraction form
    368.59/505.62 = 348.73/x
  3. Step 3: Cross multiply
    368.59x = 505.62 × 348.73
  4. Step 4: Simplify right side
    368.59x = 176,322.33
  5. Step 5: Solve for x
    x = 176,322.33/368.59
  6. Step 6: Final answer
    x = 478.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.